Question

Find [-4/5]×3/7×15/16×[-14/9]​

Answer 1

The given expression is $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})$.

We need to simplify the given expression.

What is a rational number?

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers $(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))$

$=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))$

$=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))$

$=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}$

Therefore, the simplified value of the given expression is $\frac{1}{2}$.

To learn more about the rational numbers visit:

brainly.com/question/17450097.

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